Can you help interpret what this interval tells us and how I can understand it?
The 95% confidence interval for the population mean IQ is, (107.77, 116.23).
We are 95% confident that the population mean IQ will be in between (107.77, 116.23).
The size of the sample, n = 33
The sample mean, xˉ = 112
The population standard deviation, σ = 12.4
Since the population standard deviation is known, use of z confidence interval
is appropriate in this scenario.
The z-critical value at 95% confidence level, z∗ = 1.96
The margin of error is, E=z∗×nσ=1.96×3312.4=4.23
The 95% confidence interval for the population mean IQ is,
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